6533b7d5fe1ef96bd1265068
RESEARCH PRODUCT
Kleine periodische L�sungen bei nichtlinearen stark-elliptischen Systemen von partiellen Differentialgleichungen I
Ulrich Staudesubject
Nonlinear systemPartial differential equationNumber theoryElliptic partial differential equationGeneral MathematicsMathematical analysisPrincipal partAlgebraic geometryAlgebraic numberBifurcationMathematicsdescription
Strongly elliptic systems of nonlinear partial differential equations are considered in the case when the derivatives of the solutions occuring in the nonlinear terms have the same order as those in the linear principal part. The existence of periodic solutions for such systems is investigated. It is shown that this problem can be reduced to the study of algebraic bifurcation equations, whose small solutions correspond to the classical solutions of the given problem. A discussion of the bifurcation equations will be given in a forthcoming paper.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1971-09-01 | Manuscripta Mathematica |